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  1. Home
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  3. /Solution Chemistry
  4. /Parts Per Million Calculator

Parts Per Million Calculator

Last updated: March 28, 2026

Calculator

Results

Concentration (ppm)

5

ppm

Concentration (ppb)

5,000

ppb

Mass Percent

0.0005

%

Results

Concentration (ppm)

5

ppm

Concentration (ppb)

5,000

ppb

Mass Percent

0.0005

%

The Parts Per Million Calculator determines the concentration of a solute in parts per million (ppm) from the mass of solute in milligrams and the mass of solution in kilograms. For dilute aqueous solutions, ppm is equivalent to mg/L since the density of water is approximately 1 kg/L.

Enter the solute mass in milligrams and the solution mass in kilograms to calculate the concentration in ppm, ppb (parts per billion), and mass percent. This unit is widely used in environmental science, water quality testing, toxicology, and trace analysis.

Visual Analysis

How It Works

Parts per million is calculated as:

ppm = mass of solute (mg) / mass of solution (kg)

This is equivalent to mg/kg. For dilute aqueous solutions (density approximately 1 kg/L), ppm equals mg/L.

Conversions: 1 ppm = 1000 ppb and 1 ppm = 0.0001%

The ppb (parts per billion) and mass percent values are derived directly from the ppm value using these conversion factors.

Worked Examples

Fluoride in Drinking Water

Inputs

mass solute mg0.7
mass solution kg1

Results

ppm0.7
ppb700
mass pct0.00007

The EPA recommended fluoride level in drinking water is 0.7 ppm (mg/L). This equals 700 ppb or 0.00007% by mass.

Dissolved Oxygen in Lake Water

Inputs

mass solute mg8
mass solution kg1

Results

ppm8
ppb8000
mass pct0.0008

Healthy lake water typically has 6-10 ppm of dissolved oxygen. A value of 8 ppm indicates good water quality for aquatic life.

Frequently Asked Questions

Parts per million (ppm) means one part of solute in one million parts of solution. It is equivalent to mg/kg or, for dilute aqueous solutions, mg/L. Imagine dissolving 1 mg of salt in 1 kg (1 liter) of water: the concentration is 1 ppm. It is used for very low concentrations where percent or molarity values would be inconveniently small numbers.

For dilute aqueous solutions at or near room temperature, ppm (mg/kg) is approximately equal to mg/L because the density of the solution is approximately 1 kg/L. However, for non-aqueous solutions, concentrated solutions, or solutions at extreme temperatures, this approximation breaks down and you need the solution density to convert between the two.

Use ppb (parts per billion, or micrograms per kilogram) when the concentration is less than about 1 ppm. This is common in environmental monitoring (trace metals in water), pharmaceutical purity testing, and semiconductor manufacturing where contaminant levels must be extremely low. 1 ppm = 1000 ppb.

Sources & Methodology

Manahan SE. Environmental Chemistry, 10th Edition. CRC Press, 2017. EPA National Primary Drinking Water Regulations. Standard Methods for the Examination of Water and Wastewater, 23rd Edition. APHA, 2017.
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Roboculator Team

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